- SCx³ – 2x²) (÷ – 5) dx

Q: Use the series representation for cos x, cos x = 1 – + to find the following three items: 6! 1- A…

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Q: ) Find the directions in which the directional derivative of f (x,y) =4x2+sin (5 xy) at (1,0) has…

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Q: What is the degree 3 Taylor Polynomial for sin x for a near T 지/2?

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Q: Find the gradient of the function at the given point. w = x tan(y + z), (17, 6, -3)

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Q: Follow the hint and solve the system. S2* + 2 l4* + 4Y 10 [Hint: Note that 4× = 22x = (2*)2.] 68 %3D…

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Q: tan(arctan 5) = _____.

A: Since we know that tan(arctan x) = x

Q: Determine an equation of the form Ax t t Cz + D=O By for the plane that contains the line (x,y,2)=…

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Q: Q10.. Solve (1+ x²) + y = tan-'x. dx

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Q: Evaluate the integral: J1 +2)³ 11 dx 44 1 22 1 89 O None of these 1 40

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Q: 6) Answer the following True or False: Let  f(x) be a differentiable function, such that f(1)=−9…

A: The solution is given in the next step.

Q: 2. The second problem was supposed to have the graph of g(x). But instead of the graph, the screen…

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Q: x 3.

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Q: The gradient vector for the surface xy + xz + yz = 1 at the point (1, 1,0) is (1, 1,0). Select one:…

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Q: Evaluate the integral below by interpreting y=(x) it in terms of areas in the figure, A1 A3 The…

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Q: de

A: The given indefinite integral is: I=∫16θ2-9θ4dθ Taking θ2 as a common in the numerator,…

Q: If 0<c <d, then find the value of b (in terms of c and d) for which (x + b)dx= 0. b = (Type an exact…

A: Evaluating the definite integral and equating it to 0

Q: 1 Use the geometric series 1 >a* for |æ| < 1, to find a power series representation k=0 for the…

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Q: ) Find: dx/dt  at  x=−4  if  y=−3x^2−2  and dy/dt=1. dx/dt=

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Q: Solve the following system of PDES. Uzz = 0, Uzy = 0 0, uzy = 0

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Q: Determine whether each improper integral below converges or diverges. a dx 2. S Vax – x 2

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Q: t-1 dt

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Q: Simplify arccos2. no solution 30° 60°

A: Given query is to simplify the expression.

Q: 10 (vi) / 1+ x dx x2 + 100

A: The given integral,     ∫0101+xx2+100dx

Q: 2n Let an = 3n +5 Determine whether {an} is convergent. Determine whether an is convergent.

A: To determine whether the given sequence and series is convergent or not.

Q: 1- use Gauss Elimination to solve the following set of equations: 3x-y+z=-2 x+5y+2z=6 2x+3y+z=0

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Q: Verify that the Intermediate Value Theorem applies to the indicated interval and find the value of c…

A: Solution According to Intermediate Value Theorem, a function f(x) is continuous and k is any number…

Q: tan(2e) lim 30 Costue)

A: Solution is given below:

Q: x2- 1 If A = limx→1 х + 6x2 — 5 and B = limx¬c0 then х — 1 х4 + 6

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Q: 33. Compound Interest If $2000 is invested at an interest rate of 3.5% per year, compounded…

A: Given query is to find the future amount for the given years.

Q: 54. U.S. Citizens 65 Years and Older The number of U.S. citizens aged 65 years and older from 1900…

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Q: Find the slope of the line that is tangent to the graph of f (x) 2a-3 at P(3/2, 0) О -3/4 O 2 O (E)…

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Q: 6.* Sx³ V4 – x² dx - A V(4 – x*)³ – V(4 - x²)* + C C (4 – x²)ª + (4 – x²)5 + C 15 15 D V(4 – x²)³ –…

A: A.=-x23(4-x2)32-215(4-x2)52+Cdifferentiating w.r.t. x;=-x2332(4-x2) (-2x)-2x3(4-x2)32…

Q: J 3x - y = 8 - y3= 3D8 46. - 2x + y = 4 %3D

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Q: Sx*(2x + !) dx

A: Given ∫x3(2x+1x)dxWe expand it:=∫(2x4+x2)dxApply linearity:=2∫x4dx+∫x2dx

Q: S (In x)²dx A x (In x)² + 2x In x + C C x (In x)² – 2x In x+ C в x (In x)² + 2x In x + 2x + C x (In…

A: Let,I=∫lnx2dxI=∫1*lnx2dxApply integraion by…

Q: /4y² - 25 -dy

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Q: Find the gradient of the function at the given point. w = x tan(y + z), (5,13, -10) 2 tan(3)i,5…

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Q: Find the volume V obtained by rotating the region bounded by the curves about the given axis. y = 5…

A: Given that        y = 5 sec(x), y= 5 cos(x), 0&lt;=x&lt;=pi/3 ; about y=-5 Here we have to find the…

Q: Use Lagrange multipliers to find the minimum value of the function f(x, y) = x2 + y? subject to the…

A: Given f(x,y)=x2+y2 and subject to constraint is xy=2 and we need to find the minimum value of given…

Q: प- १ + का वपू

A: Let ,I=∫y-2+1dyput y-2+1=udifferentiate w.r.t.y12y-2dy=dudy=2y-2dudu=2(u-1)duI=∫u2(u-1)duTake the…

Q: Choose the graph of the function arccsc(x).

A: Given question:- Choose the graph of the function arccsc(x)

Q: Find the absolute maximum and minimum values of the function over the indicated interval, and…

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Q: 2. -7-8X-x²

A: Use substitution method to solve this integration.

Q: Q.3 Find general solution by separating the variables. i. y3 = (y* + 1) cos x dx. ii. y' = 3x²(y² +…

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Q: 5dz (z+4)Vz+1

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Q: 10 rp|9 |10z 5 da

A: Follow the procedure given below.

Q: 6 arcsin(sin 40 ) = _____. -40° -220° 40° 220°

A: Solve the following

Q: Find the gradient of the function at the given poin w = x tan(y + z), (6, 15, –13) Vw(6, 15, –13) =

A: The given function is w=xtan(y+z) ............................................. (1)  We have to find…

Q: 1. Use a Trigonometric substitution to evaluate the following: Vy² – 25 -dy,y > 5 y Include a sketch…

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Q: Write the expression below in the form (a + b)" 1296x - - 3000x'y+625y 4320xy + 5400xy

A: To write the expression below in the form a+bn.1296x12-4320x9y2+5400x6y4-3000x3y6+625y8